We began with some revision for Section A of the final exam using the ThatQuiz problems from the link above. We went over those problems and questions from the practice exam. We then did a bit of logarithm property revision on the Khan Academy and Manga High.
IW #6:
Prepare IW #1 and #4 to submit on Tuesday. The quiz will cover these two IW's!
Continue to work on the ThatQuiz revision problems until you can get 100%.
Continue to work on the three unit tests- six questions on the final exam come directly from these unit tests.
Seniors took the exam and everyone else took the follow-up test and then worked on the practice exam.
IW #4:
Do the practice exam; calculator and GeoGebra ok. We will learn how to do #15, 25, 26, 27, and 28 next class. Take your best guess. Do your working on a piece of paper to turn in next Tuesday. Submit your answers here.
Thursday, May 30th, 2013
We finished Supercorrecting and revised for the follow-up test and the final exam.
IW #3:
Study for the Follow-up Test: blank copy of the test is here
Go through Chapters 5-7 in your text book and add to your notecard any bold vocabulary words or blue boxed concepts that you have not memorized already.
We began class with a partner IW quiz that could not hurt (only help). We then used the remainder of the period to review Unit 7 by going over IW questions and discussing holes and asymptotes.
IW #7:
p. 547/5, 7
Be sure you have finished, checked, and corrected each problem from IW #1 to #7. Organize and staple your pages together.
Revise for the test. If you need additional explanations, the polynomial pages on PurpleMath are excellent. The pages on rational functions are also very helpful, but we will not worry about slanted asymptotes in Algebra 2- only vertical and horizontal and holes.
PatrickJMT has some great videos- search for "polynomials" or "rational functions".
Optional extra credit: do one or more problem from each of the five Chapter Review sections on p. 468-470.
Tuesday, May 14th, 2013
We began by doing Exercise 3 on this website in small groups. We then worked on this exploration of rational functions (be sure to make a copy before you start answering the questions!). After going over the exploration, we went over independent work questions and the quiz from last class.
IW #6:
p. 495/6-11, 15, 19, 25, 31, 37
Be sure IW #1-#5 are finished and corrected in preparation for the quiz Tuesday!
Friday, May 10th, 2013
We began by doing a few more of these together to revise long division before we took the IW quiz. After going over the IW from last class, we discussed further how to find zeros of polynomials using a graph, the Complex Conjugate Root Theorem, multiplicity, synthetic division, and the Fundamental Theorem of Algebra. We did this using the first problems of IW #5 (pictures here and here).
IW #5:
463/5-8, 13, 29, 31, 37, 41, 45, 47, 54
Be sure IW #1-#4 are finished and corrected in preparation for the quiz Tuesday!
Wednesday, May 8th, 2013
We began by doing a polynomial long division problem and then listening to Sal Khan explain synthetic division with the same problem. We did these together to revise long division and synthetic division. We went over the follow-up test from Unit 6. We then went over the IW questions and connected the vocabulary zero, solution, root, factor, x-intercept. We used p. 452/4-9 to put these ideas into practice and also learned the technique of variable substitution (photos from board: vocabulary and IW problems).
IW #4:
452/4-9, 11, 15, 17, 29, 43, 68, 72
Be sure IW #1-#3 are finished and corrected in preparation for the quiz Friday!
Monday, May 6th, 2013
We began class by finishing the notes from last class on continuity, end behavior, and polynomial regressions. We went over the IW (especially the regression and end behavior) and the follow up test. We did some factoring revision here and here and then discussed products and factors of polynomials. We used p. 445/5, 6, 7 to further revise factoring and learn about the new difference/sum of cubes pattern. We learned the Factor and Remainder Theorem and ended by learning how to divide using long division (read about it here). We ran out of time and needed to look at synthetic division next class. We will also look at how Wolframalpha can help in these problems.
We began class with the follow-up test. Those who finished early worked on the Manga High challenge (Use Graphs to Solve Equations). We went over the IW, reviewing that the number of turns (turning points or relative extrema) is at most one less than the degree of a polynomial function. After, we learned about local extrema and intervals where a polynomial function's graph is increasing/decreasing using p. 437/5 from the IW. Next class, we will discuss what it means for a function to be continuous. We will investigate end behavior use it to answer p. 437/6 and 7 without technology. We will also learn how to use Geogebra to make a polynomial regression model using FitPoly for p. 437/8.
IW #2:
p. 437/5-8, 11, 19, 33, 37, 39, 51, 53 (do your best to do these, even though we haven't finished our explanations- just be sure you finish them by the end of the unit)
Tuesday, April 30th, 2013
We began class by going over the Unit 6 test in preparation for the Follow-up test next class. We then explored the graphs of polynomial functions using the investigation on p. 427. We revised some polynomial vocabulary: monomial, coefficient, binomial, trinomial, degree of a monomial, degree of a polynomial. We also learned how to classify polynomials by degree (constant, linear, quadratic, cubic, quartic, and quintic).
Table of Contents
Unit 7: Polynomial & Rational Functions
ResourcesEven Answers
Questions (assignment questions or general questions)
ThatQuiz.org
Friday, June 7th, 2013
We began with some revision for Section A of the final exam using the ThatQuiz problems from the link above. We went over those problems and questions from the practice exam. We then did a bit of logarithm property revision on the Khan Academy and Manga High.IW #6:
Wednesday, June 5th, 2013
We went over the practice exam in pairs, corrected the Supercorrection Follow-up test, and then worked on Khan Academy revision.IW #5:
Monday, June 3rd, 2013
Seniors took the exam and everyone else took the follow-up test and then worked on the practice exam.IW #4:
Thursday, May 30th, 2013
We finished Supercorrecting and revised for the follow-up test and the final exam.IW #3:
Tuesday, May 28th, 2013
We Supercorrected.IW #2:
Thursday, May 23rd, 2013
Today was the test day.IW #1:
Tuesday, May 21st, 2013
We began class with a partner IW quiz that could not hurt (only help). We then used the remainder of the period to review Unit 7 by going over IW questions and discussing holes and asymptotes.IW #7:
Tuesday, May 14th, 2013
We began by doing Exercise 3 on this website in small groups. We then worked on this exploration of rational functions (be sure to make a copy before you start answering the questions!). After going over the exploration, we went over independent work questions and the quiz from last class.IW #6:
Friday, May 10th, 2013
We began by doing a few more of these together to revise long division before we took the IW quiz. After going over the IW from last class, we discussed further how to find zeros of polynomials using a graph, the Complex Conjugate Root Theorem, multiplicity, synthetic division, and the Fundamental Theorem of Algebra. We did this using the first problems of IW #5 (pictures here and here).IW #5:
Wednesday, May 8th, 2013
We began by doing a polynomial long division problem and then listening to Sal Khan explain synthetic division with the same problem. We did these together to revise long division and synthetic division. We went over the follow-up test from Unit 6. We then went over the IW questions and connected the vocabulary zero, solution, root, factor, x-intercept. We used p. 452/4-9 to put these ideas into practice and also learned the technique of variable substitution (photos from board: vocabulary and IW problems).IW #4:
Monday, May 6th, 2013
We began class by finishing the notes from last class on continuity, end behavior, and polynomial regressions. We went over the IW (especially the regression and end behavior) and the follow up test. We did some factoring revision here and here and then discussed products and factors of polynomials. We used p. 445/5, 6, 7 to further revise factoring and learn about the new difference/sum of cubes pattern. We learned the Factor and Remainder Theorem and ended by learning how to divide using long division (read about it here). We ran out of time and needed to look at synthetic division next class. We will also look at how Wolframalpha can help in these problems.IW #3:
Thursday, May 2nd, 2013
We began class with the follow-up test. Those who finished early worked on the Manga High challenge (Use Graphs to Solve Equations). We went over the IW, reviewing that the number of turns (turning points or relative extrema) is at most one less than the degree of a polynomial function. After, we learned about local extrema and intervals where a polynomial function's graph is increasing/decreasing using p. 437/5 from the IW. Next class, we will discuss what it means for a function to be continuous. We will investigate end behavior use it to answer p. 437/6 and 7 without technology. We will also learn how to use Geogebra to make a polynomial regression model using FitPoly for p. 437/8.IW #2:
Tuesday, April 30th, 2013
We began class by going over the Unit 6 test in preparation for the Follow-up test next class. We then explored the graphs of polynomial functions using the investigation on p. 427. We revised some polynomial vocabulary: monomial, coefficient, binomial, trinomial, degree of a monomial, degree of a polynomial. We also learned how to classify polynomials by degree (constant, linear, quadratic, cubic, quartic, and quintic).IW #1:
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